UNSPECIFIED. (2002) McKay correspondence. ASTERISQUE (276). 53-+. ISSN 0303-1179Full text not available from this repository.
Let M be a quasiprojective algebraic manifold with K-M = 0 and G a finite automorphism group of M acting trivially on the canonical class K-M; for example, a subgroup C of SL(n, C) acting on C-n in the obvious way. We aim to study the quotient variety X = M/G and its resolutions Y --> X (especially under the assumption that Y has K-Y = 0) in terms of G-equivariant geometry of Al. At present we know 4 or 5 quite different methods of doing this, taken from string theory, algebraic geometry, motives, moduli, derived categories, etc. For G in SL (n, C) with n = 2 or 3, we obtain several methods of cobbling together a basis of the homology of Y consisting of algebraic cycles in one-to-one correspondence with the conjugacy classes or the irreducible representations of G.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ASTERISQUE|
|Publisher:||SOC MATHEMATIQUE FRANCE|
|Number of Pages:||21|
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